Search a number
-
+
163132227630 = 232517149971129
BaseRepresentation
bin1001011111101101110…
…0000100000000101110
3120121001222001210112200
42113323130010000232
510133043322241010
6202535241442330
714533366025121
oct2277334040056
9517058053480
10163132227630
1163202987139
12277487a03a6
13124ca169858
147c778da3b8
15439b94ecc0
hex25fb70402e

163132227630 has 96 divisors (see below), whose sum is σ = 449399340000. Its totient is φ = 40915101696.

The previous prime is 163132227607. The next prime is 163132227683. The reversal of 163132227630 is 36722231361.

163132227630 is a `hidden beast` number, since 1 + 6 + 3 + 13 + 2 + 2 + 2 + 7 + 630 = 666.

163132227630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1631322276302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2257906 + ... + 2329034.

It is an arithmetic number, because the mean of its divisors is an integer number (4681243125).

Almost surely, 2163132227630 is an apocalyptic number.

163132227630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 163132227630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224699670000).

163132227630 is an abundant number, since it is smaller than the sum of its proper divisors (286267112370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163132227630 is a wasteful number, since it uses less digits than its factorization.

163132227630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72658 (or 72655 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 163132227630 its reverse (36722231361), we get a palindrome (199854458991).

The spelling of 163132227630 in words is "one hundred sixty-three billion, one hundred thirty-two million, two hundred twenty-seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1499 1530 2998 4497 7495 8994 13491 14990 22485 25483 26982 44970 50966 67455 71129 76449 127415 134910 142258 152898 213387 229347 254830 355645 382245 426774 458694 640161 711290 764490 1066935 1146735 1209193 1280322 2133870 2293470 2418386 3200805 3627579 6045965 6401610 7255158 10882737 12091930 18137895 21765474 36275790 54413685 106622371 108827370 213244742 319867113 533111855 639734226 959601339 1066223710 1599335565 1812580307 1919202678 3198671130 3625160614 4798006695 5437740921 9062901535 9596013390 10875481842 16313222763 18125803070 27188704605 32626445526 54377409210 81566113815 163132227630